LCM of 843, 621, 689, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 621, 689, 171 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 843, 621, 689, 171. So, keep reading to learn more.
Given numbers are 843,621,689,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,621,689,171 is 2284392591.
Find LCM of 843,621,689,171 with Prime Factorization
| 3 | 843, 621, 689, 171 |
| 3 | 281, 207, 689, 57 |
| 281, 69, 689, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 281 x 69 x 689 x 19 = 2284392591
Therefore, the lowest common multiple of 843,621,689,171 is 2284392591.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
843 x 621 x 689 x 171 = 61678599957
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
843 : 1, 3, 281, 843
621 : 1, 3, 9, 23, 27, 69, 207, 621
689 : 1, 13, 53, 689
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,621,689,171, is 1.
Now, the common factors can be found like this.
843:3x 281
621:3x 3x 3x 23
689:13x 53
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 61678599957/(1x27)
LCM = 61678599957/27
LCM = 2284392591
Thus, we can understand that the LCM of 843,621,689,171 is 2284392591.
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FAQs on LCM of 843, 621, 689, 171
1. What is the LCM of 843, 621, 689, 171?
Answer: LCM of 843, 621, 689, 171 is 2284392591.
2. How to calculate the LCM of 843, 621, 689, 171?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 843, 621, 689, 171.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.